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Finding the Fourth Proportional to 288,271.80, 432,031.44 and 208,578.20

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Solution

The fourth proportional to 288,271.80, 432,031.44 and 208,578.20 is: 312,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,271.80 : 432,031.44 = 208,578.20 : x
  2. Step 2: Convert to fraction form
    288,271.80/432,031.44 = 208,578.20/x
  3. Step 3: Cross multiply
    288,271.80x = 432,031.44 × 208,578.20
  4. Step 4: Simplify right side
    288,271.80x = 90,112,340,098.61
  5. Step 5: Solve for x
    x = 90,112,340,098.61/288,271.80
  6. Step 6: Final answer
    x = 312,595.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.